Home / 1,300.19-1,949.09-478.24

Finding the Fourth Proportional to 1,300.19, 1,949.09 and 478.24

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Solution

The fourth proportional to 1,300.19, 1,949.09 and 478.24 is: 716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.19 : 1,949.09 = 478.24 : x
  2. Step 2: Convert to fraction form
    1,300.19/1,949.09 = 478.24/x
  3. Step 3: Cross multiply
    1,300.19x = 1,949.09 × 478.24
  4. Step 4: Simplify right side
    1,300.19x = 932,132.80
  5. Step 5: Solve for x
    x = 932,132.80/1,300.19
  6. Step 6: Final answer
    x = 716.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.